20021322131200 has 216 divisors, whose sum is σ = 53395379851968. Its totient is φ = 7388680765440.

The previous prime is 20021322131191. The next prime is 20021322131221. The reversal of 20021322131200 is 213122312002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164092617 + ... + 164214583.

It is an arithmetic number, because the mean of its divisors is an integer number (247200832648).

Almost surely, 2^{20021322131200} is an apocalyptic number.

20021322131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021322131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26697689925984).

20021322131200 is an abundant number, since it is smaller than the sum of its proper divisors (33374057720768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20021322131200 is a wasteful number, since it uses less digits than its factorization.

20021322131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123979 (or 123960 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20021322131200 its reverse (213122312002), we get a palindrome (20234444443202).

The spelling of 20021322131200 in words is "twenty trillion, twenty-one billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred".